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Transposed poisson structures on low dimensional quasi-filiform Lie Algebras of maximum length


Citation

Sapar, Siti Hasana and Saydaliyev, Azamat and Deraman, Fatanah and Abdurasulov, K. (2025) Transposed poisson structures on low dimensional quasi-filiform Lie Algebras of maximum length. Lobachevskii Journal of Mathematics, 45 (11). pp. 5735-5749. ISSN 1995-0802; eISSN: 1818-9962

Abstract

The article first computes 1/2 -derivations of five and six dimensional quasi-filiform Lie algebras of maximum length. Then, it constructs non-trivial transposed Poisson algebras using these 1/2 -derivations of quasi-filiform Lie algebras of maximum length. We have also established commutative associative multiplication to build a transposed Poisson algebra associated with a given Lie algebra.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
DOI Number: https://doi.org/10.1134/S1995080224606866
Publisher: Pleiades Publishing
Keywords: Lie algebra; Transposed poisson algebra; 1 2-derivation
Depositing User: Ms. Che Wa Zakaria
Date Deposited: 08 Jul 2025 02:05
Last Modified: 08 Jul 2025 02:05
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1134/S1995080224606866
URI: http://psasir.upm.edu.my/id/eprint/117490
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